Journal of Applied Mathematics and Stochastic Analysis 
Volume 7 (1994), Issue 4, Pages 581-586
doi:10.1155/S1048953394000456

Almost periodic solutions to systems of parabolic equations

Janpou Nee

 Academia Sinica, Institute of Mathematics, Nankang, ROC, Taipei 11529, Taiwan
Received 1 February 1994; Revised 1 May 1994

Abstract

In this paper we show that the second-order differential solution is 𝕃2-almost periodic, provided it is 𝕃2-bounded, and the growth of the components of a non-linear function of a system of parabolic equation is bounded by any pair of con-secutive eigenvalues of the associated Dirichlet boundary value problems.